Education & Professional History
University of Notre Dame, BS; University of Cambridge, MASt; University of Chicago, MS
I got my PhD in 2020 from the University of Chicago. My advisor was Danny Calegari. I graduated with an MASt in Mathematics from Cambridge University in 2014, and a BS in Mathematics and Music (Vocal Performance) from Notre Dame in 2013.
At Carleton since 2020.
Current Courses

Fall 2021
MATH 232:
Linear Algebra

MATH 400:
Integrative Exercise

Winter 2022
MATH 120:
Calculus 2

MATH 236:
Mathematical Structures

MATH 400:
Integrative Exercise

Spring 2022
MATH 244:
Geometries
I’m interested in geometric group theory, especially questions about random groups and cube complexes. The first papers I read in graduate school were by James Cannon: The Combinatorial Structure of Cocompact Discrete Hyperbolic Groups, and The Theory of Negatively Curved Spaces and Groups. While I read these in graduate school, they are accessible to any undergraduate familiar with groups. For any undergraduates interested in geometric group theory, I highly recommend them! For a more systematic approach to GGT, I also recommend the book Office Hours with a Geometric Group Theorist, edited by Matt Clay and Dan Margalit.
Here is a statement on my research, including potential projects with undergraduates.
Current Office Hours
I’m available by appointment via Zoom. Please use this link to sign up.
Past Courses
University of Chicago
 Instructor, Calculus and Elementary Functions III (MATH 1310013200, Section 58) Spring and Winter, 2019 and 2020.
 CoFacilitator and Creator, Fundamentals of Teaching in the Mathematical Sciences, Fall 2019. These four 90minute sessions are a chance for graduate students in the mathematical sciences to meet, discuss their teaching, and learn about current evidencebased approaches to improve learning in your students. Cotaught with Karl Schafer.
 Instructor, Linear Algebra (MATH 19620, Section 50), Fall 2018.
 Instructor, Number Theory, SESAME Program at University of Chicago, Spring 2018. Webpage here.
 Instructor, Harris School of Public Policy Math Camp, Summer 2017 (webpage here), Summer 2018 (webpage here), and Summer 2019 (webpage here).
 Instructor and Creator, How to Solve it, Fall 2017 and 2018.
 Grader, Graduate Algebraic Topology (D. Calegari), Fall 2016.
 College Fellow, Honors Calculus 161163 (J. Stehnova), 20162017.
Undergraduate Mentoring
I have mentored several undergraduate students in independent reading/research projects, including the following:
Current Courses

Fall 2021
MATH 232:
Linear Algebra

MATH 400:
Integrative Exercise

Winter 2022
MATH 120:
Calculus 2

MATH 236:
Mathematical Structures

MATH 400:
Integrative Exercise

Spring 2022
MATH 244:
Geometries
Vocal Biography
MurphyKate Montee, soprano, lives in Northfield, MN. Her performance experience includes concert and chamber works, including the soprano solo in Haydn’s Missa in Angustiis and the role of Lieschen in Bach’s Coffee Cantata. In 2014, she performed the role of the Countess in Mozart’s The Marriage of Figaro in a concert setting, where she was lauded as “richvoiced, impressive” (Sardines). She has also performed in dramatic settings, in stagings of Tobias and the Angel (Edna), Dialogues des Carmelites (Blanche de la Force), and Sweeney Todd (Mrs Lovett).
MurphyKate studied under Patrice Michaels while earning a PhD in Mathematics from the University of Chicago. In 2013, she graduated from the University of Notre Dame with a BS in Music, where she studied Vocal Performance with Mark Beudert.
MurphyKate’s Vocal CV can be seen here.